Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-3)(x-2)(x+1)

Givens:

We have a function with three roots, this means that it's a cubic function, and always increase without bound, this cubic functions increases at both ends, they don't have any restriction because they are polynomial functions. Also, we know that this function must intercept x-axis three times, because each solution represents an interception. So, these interceptions are at , because these three x-values makes f(x) = 0.

So, if we graph this function we would have a behaviour like the image attached. You can observe the interception we deducted from the expression and the increasing and decreasing

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.